Description: The ring of integers is an (additive) abelian group. (Contributed by AV, 13-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | zringabl | ⊢ ℤring ∈ Abel |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | zringring | ⊢ ℤring ∈ Ring | |
| 2 | ringabl | ⊢ ( ℤring ∈ Ring → ℤring ∈ Abel ) | |
| 3 | 1 2 | ax-mp | ⊢ ℤring ∈ Abel |